%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:05:26 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.46s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_124,c_54]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X3,X2),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1)))) ),
inference(superposition,[status(thm)],[c_53,c_139]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X2,X3),X0))
| ~ is_a_theorem(equivalent(X1,X3))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_124,c_139]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_53,c_180]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X3,X0),X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_124,c_180]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_235,c_139]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_53,c_277]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X3,X0),X2),equivalent(X3,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_53,c_181]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_296,c_54]) ).
tcf(c_476,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_235,c_424]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_341,c_424]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_476,c_139]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(superposition,[status(thm)],[c_476,c_512]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
inference(superposition,[status(thm)],[c_910,c_705]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_1003,c_424]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_1233,c_180]) ).
tcf(c_2512,plain,
~ is_a_theorem(equivalent(equivalent(b,equivalent(b,c)),c)),
inference(superposition,[status(thm)],[c_236,c_52]) ).
tcf(c_2518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2512,c_1313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.46 % Computer : n018.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Wed Sep 23 21:39:48 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/0.53 Running first-order theorem proving
% 0.21/0.53 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54
% 0.21/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.54
% 0.21/0.54 % Detected problem language: tptp
% 0.21/0.56 % Proving...
% 3.77/1.46 % SZS status Started for theBenchmark.p
% 3.77/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.46
% 3.77/1.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.77/1.46
% 3.77/1.46 % ------ iProver source info
% 3.77/1.46
% 3.77/1.46 % git: date: 2026-07-19 20:42:38 +0200
% 3.77/1.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.77/1.46 % git: non_committed_changes: false
% 3.77/1.46
% 3.77/1.46 % ------ Parsing...% successful
% 3.77/1.46
% 3.77/1.46
% 3.77/1.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.77/1.46
% 3.77/1.46 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.77/1.46
% 3.77/1.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.77/1.46 % ------ Proving...
% 3.77/1.46 % ------ Problem Properties
% 3.77/1.46
% 3.77/1.46 %
% 3.77/1.46 % clauses 3
% 3.77/1.46 % conjectures 1
% 3.77/1.46 % EPR 0
% 3.77/1.46 % Horn 3
% 3.77/1.46 % unary 2
% 3.77/1.46 % binary 0
% 3.77/1.46 % lits 5
% 3.77/1.46 % lits eq 0
% 3.77/1.46 % fd_pure 0
% 3.77/1.46 % fd_pseudo 0
% 3.77/1.46 % fd_cond 0
% 3.77/1.46 % fd_pseudo_cond 0
% 3.77/1.46 % AC symbols 0
% 3.77/1.46
% 3.77/1.46 % ------ Schedule dynamic 5 is on
% 3.77/1.46
% 3.77/1.46 % ------ no equalities: superposition off
% 3.77/1.46
% 3.77/1.46 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.46
% 3.77/1.46
% 3.77/1.46 % ------
% 3.77/1.46 % Current options:
% 3.77/1.46 % ------
% 3.77/1.46
% 3.77/1.46
% 3.77/1.46 %
% 3.77/1.46
% 3.77/1.46 % ------ Proving...
% 3.77/1.46 %
% 3.77/1.46
% 3.77/1.46 % SZS status Unsatisfiable for theBenchmark.p
% 3.77/1.46
% 3.77/1.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.47
% 3.77/1.47
%------------------------------------------------------------------------------